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Evolution of wave packets in quasi-1D and 1D random media: diffusion versus localization

F. M. Izrailev·T. Kottos·A. Politi·G. P. Tsironis
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Abstract

We study numerically the evolution of wavepackets in quasi one-dimensional random systems described by a tight-binding Hamiltonian with long-range random interactions. Results are presented for the scaling properties of the width of packets in three time regimes: ballistic, diffusive and localized. Particular attention is given to the fluctuations of packet widths in both the diffusive and localized regime. Scaling properties of the steady-state distribution are also analyzed and compared with theoretical expression borrowed from one-dimensional Anderson theory. Analogies and differences with the kicked rotator model and the one-dimensional localization are discussed.

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F. M. Izrailev, T. Kottos, A. Politi, G. P. Tsironis. 1996-12-02. Evolution of wave packets in quasi-1D and 1D random media: diffusion versus localization. https://doi.org/10.1103/physreve.55.4951

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